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3 years ago

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Mathematics

1 answer:

QveST [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Let me know if anything is unclear :)

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A circle has radius 50 cm. Which of these is closest to its area?

olga55 [171]

Answer:

7854 cm²

Step-by-step explanation:

3.14 x 50² = 7850

4 0

2 years ago

A class of 24 students went on a picnic. They had a choice between having a turkey sandwich or a vegetarian sandwich. Eighteen s

Alekssandra [29.7K]

I believe it is the ratio 3 : 1.

18 students chose the turkey sandwich.

Since the class has a total of 24 students, we can deduce that 6 students chose the vegetarian sandwich.

This gives us a ratio of 18 : 6.

When simplified, we get a ratio of 3 : 1.

5 0

3 years ago

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan

vitfil [10]

Answer:

$a = 6m/s^2$

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

$a\ \alpha\ \frac{1}{m}$

Convert variation to equality

$a = \frac{F}{m}$ ; Where F is the constant of variation (Force)

Make F the subject of formula;

$F = ma$

When mass = 4kg; Acceleration = 15m/s²

$F = 4 * 15$

$F = 60N$

When mass = 10kg; Substitute 60 for Force

$F = ma$

$60 = 10 * a$

$60 = 10a$

Divide both sides by 10

$\frac{60}{10} = \frac{10a}{10}$

$a = 6m/s^2$

Hence, the acceleration is  $a = 6m/s^2$ 

4 0

3 years ago

A bag contains 7 red marbles, 3 blue marbles and 5 green marbles. If three marbles

worty [1.4K]

Answer:

3.7%

Step-by-step explanation:

We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:

$P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}$

We get a probability of:

$P= \frac{1}{27}$

This converts to a percentage of:

$\frac{1}{27}= 0.037 \\ 0.037*100= 3.7%$

We get a percentage of 3.7%

8 0

3 years ago

Hey there! posted picture of question help please

Amiraneli [1.4K]

For this case we have the following function:
f (x) = (1/6) ^ x
We must evaluate the function for x = 3
We have then:
f (3) = (1/6) ^ 3
Rewriting:
f (3) = (1/216)
Answer:
The function evaluated at x = 3 is:
f (3) = (1/216)
option C

8 0

4 years ago

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